Finding the Third Proportional to 47,871 and 73,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,871 : 73,993.50 = 73,993.50 : x
2. Step 2: Convert to fraction form
   47,871/73,993.50 = 73,993.50/x
3. Step 3: Cross multiply
   47,871x = 73,993.50 × 73,993.50
4. Step 4: Simplify right side
   47,871x = 5,475,038,042.25
5. Step 5: Solve for x
   x = 5,475,038,042.25/47,871
6. Step 6: Final answer
   x = 114,370.66